1381212000 has 864 divisors, whose sum is σ = 6117340320. Its totient is φ = 304819200.

The previous prime is 1381211999. The next prime is 1381212013. The reversal of 1381212000 is 2121831.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47627986 + ... + 47628014.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^1381212000 is an apocalyptic number.

1381212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058670160).

1381212000 is an abundant number, since it is smaller than the sum of its proper divisors (4736128320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1381212000 is an equidigital number, since it uses as much as digits as its factorization.

1381212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1381212000 is about 37164.6606334566. The cubic root of 1381212000 is about 1113.6621193796.

Adding to 1381212000 its reverse (2121831), we get a palindrome (1383333831).

The spelling of 1381212000 in words is "one billion, three hundred eighty-one million, two hundred twelve thousand".